Use the properties of similarity transformations to establish the AA
criterion for two triangles to be similar.
General Information
Subject Area: Mathematics
Grade: 912
DomainSubdomain: Geometry: Similarity, Right Triangles, & Trigonometry
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Understand similarity in terms of similarity transformations. (Geometry  Major Cluster) 
Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
Date Adopted or Revised: 02/14
Content Complexity Rating:
Level 2: Basic Application of Skills & Concepts

More Information
Date of Last Rating: 02/14
Status: State Board Approved  Archived
Assessed: Yes
Test Item Specifications

Also assesses:
 Assessment Limits :
Items may require the student to be familiar with using the algebraic
description for a translation, and
for a dilation when given the center of dilation.
Items may require the student to be familiar with the algebraic
description for a 90degree rotation about the origin,
, for a 180degree rotation about the origin,
, and for a 270degree rotation about the origin,
. Items that use more than one transformation may
ask the student to write a series of algebraic descriptions.  Calculator :
Neutral
 Clarification :
Students will explain using properties of similarity transformations
why the AA criterion is sufficient to show that two triangles are
similar.Students will use triangle similarity to prove theorems about
triangles.Students will prove the Pythagorean theorem using similarity.
 Stimulus Attributes :
Items may be set in a realworld or mathematical context.  Response Attributes :
None
MAFS.912.GSRT.2.4
Related Courses
This benchmark is part of these courses.
1200400: Foundational Skills in Mathematics 912 (Specifically in versions: 2014  2015, 2015  2022, 2022 and beyond (current))
1206300: Informal Geometry (Specifically in versions: 2014  2015, 2015  2022 (course terminated))
1206310: Geometry (Specifically in versions: 2014  2015, 2015  2022, 2022 and beyond (current))
1206320: Geometry Honors (Specifically in versions: 2014  2015, 2015  2022, 2022 and beyond (current))
7912060: Access Informal Geometry (Specifically in versions: 2014  2015 (course terminated))
7912070: Access Mathematics for Liberal Arts (Specifically in versions: 2014  2015, 2015  2018, 2018  2019, 2019  2022, 2022  2023 (current), 2023 and beyond)
1206315: Geometry for Credit Recovery (Specifically in versions: 2014  2015, 2015  2022, 2022 and beyond (current))
1207300: Liberal Arts Mathematics 1 (Specifically in versions: 2014  2015, 2015  2022 (course terminated))
7912065: Access Geometry (Specifically in versions: 2015  2022, 2022 and beyond (current))
Related Access Points
Alternate version of this benchmark for students with significant cognitive disabilities.
Related Resources
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Formative Assessments
Lesson Plans
MFAS Formative Assessments
Justifying a Proof of the AA Similarity Theorem:
Students are asked to justify statements of a proof of the AA Similarity Theorem.
Prove the AA Similarity Theorem:
Students will indicate a complete proof of the AA Theorem for triangle similarity.
Student Resources
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Parent Resources
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